# The involute

The involute is defined as the path of a point on a straight line which rolls without slip along the circumference of a cylinder. The involute curve will be required in a later chapter for the construction of gear teeth.

### Involute construction

1 Draw the given base circle and divide it into, say, 12 equal divisions as shown in Fig. 10.8. Generally only the first part of the involute is required, so the given diagram shows a method using half of the length of the circumference.

3 From point 6, mark off a length equal to half the length of the circumference.

4 Divide line 6G into six equal parts.

5 From point 1, mark point B such that 1B is equal to one part of line 6G.

6 From point 2, mark point C such that 2C is equal to two parts of line 6G.

Repeat the above procedure from points 3, 4 and 5, increasing the lengths along the tangents as before by one part of line 6G.

7 Join points A to G, to give the required involute.

Alternative method

1 As above, draw the given base circle, divide into, say, 12 equal divisions, and draw the tangents from points 1 to 6.

2 From point 1 and with radius equal to the chordal length from point 1 to point A, draw an arc terminating at the tangent from point 1 at point B.

3 Repeat the above procedure from point 2 with radius 2B terminating at point C.

4 Repeat the above instructions to obtain points D, E, F and G, and join points A to G to give the required involute.

The alternative method given is an approximate method, but is reasonably accurate provided that the arc length is short; the difference in length between the arc and the chord introduces only a minimal error.

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### Responses

• Anke Hoch
How to draw involutes engineering drawing 1st year?
8 years ago
• duenna
How to create s involute?
8 years ago
• Geraldina
How to draw an involute of a circle simple techical drawing?
8 years ago
• massimiliano
What is a point in engineering drawing?
8 years ago
• aoife
How to construct an involute in engineering drawings?
8 years ago
• YVONNE ENGEL
How to draw involute curve?
8 years ago
• frank
How to draw engineering 1st year drawing involute?
4 years ago
• caelan
How to construct a basic involute?
4 years ago
• gabriel
How to draw an involute of acircle?
3 years ago
How to draw the tangent of each point of an involute?
3 years ago
How to contruct an involute?
3 years ago
• zula
How steps on how to draw involute of a involcte circle?
3 years ago
• elvia
How to draw a nvolute rectanguler method in technical drawing?
3 years ago
• teodata
WHAT IS INVOLUTE IN TECHNICAL DROWING?
3 years ago
• simon wilson
What is a type of involute in technical drwaeisb?
3 years ago
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How to construct an involute curve?
2 years ago
• gemma
How the get the point to draw an involute curve?
2 years ago
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How to draw an involute pictures with steps?
2 years ago
• tiia rannikko
How to draw involute with 1.5 convolutions?
2 years ago
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How to make involuke of a given circke?
2 years ago
• lucie mitchell
How to draw an involut of a circle?
2 years ago
• zula
How to construct involute curves?
2 years ago
• Rorimac
How to draw involute of a circle steps with photo?
2 years ago
• JONNE JUVA
How to draw the involute of a line?
2 years ago
• GREGORIO
What is and involluted of a cycle.?
2 years ago
• massawa
How to draw involute in engineering graphics?
2 years ago
• primrose
How to draw an involute curve of radius?
2 years ago
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Who involute is been drown in rechinical drawing?
2 years ago
• FRANCES
How to construct an involute in Technical Drawing?
2 years ago
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How to draw an ivolute?
2 years ago
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How to draw an envolute?
2 years ago
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How to draw involute of a straight line?
1 year ago
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What is involutes in technical drawings?
1 year ago
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How to constuct an envolute?
1 year ago
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How to draw a scroll involute?
10 months ago
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How to draw involute of a scroll compressor?
7 months ago
• mary thorton
What is the meaning of involute in technical drawing?
6 months ago
• VANESSA JAGER
What is the role of the involute?
5 months ago
• lavinia
How to make an involute curve on a circle?
4 months ago
• AMINA
How t generaeaninvolute curve?
4 months ago
• Loren
How to draw a gear teeth using involute step by step with image d?
1 month ago
• Jessica
How to draw an involute curve in a circle?
29 days ago
• Luis
How to draw the involute curve in metrology?
15 hours ago